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Martina is planning to fly to a town 1000 km due north of her present location. There is a 45 km h wind blowing from .a. If her plane travels at 500 km h, what direction should the pilot head toreach the destination?

Martina is planning to fly to a town 1000 km due north of her present location. There-example-1
User Anky
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1 Answer

5 votes

Given:

There are given that the Martina planning to fly 1000km north.

Step-by-step explanation:

According to the question:

(a):

Let v represent the velocity:

So,


vcos\theta=45sin30^(\circ)

Then,

Put 500 for the value of v into the above formula:

So,


\begin{gathered} vcos\theta=45s\imaginaryI n30^{\operatorname{\circ}} \\ 500cos\theta=45*(1)/(2) \\ cos\theta=(45)/(1000) \\ \theta=cos^(-1)(45)/(1000) \\ \theta=87.42 \end{gathered}

Final answer:

Hence, the direction of the pilot head is northeast because the degree of rotation is 87.42 degrees.

User Cedervall
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6.5k points
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